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Finding the Third Proportional to 153,902 and 336,244

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Solution

The third proportional to 153,902 and 336,244 is: 734,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902 : 336,244 = 336,244 : x
  2. Step 2: Convert to fraction form
    153,902/336,244 = 336,244/x
  3. Step 3: Cross multiply
    153,902x = 336,244 × 336,244
  4. Step 4: Simplify right side
    153,902x = 113,060,027,536
  5. Step 5: Solve for x
    x = 113,060,027,536/153,902
  6. Step 6: Final answer
    x = 734,623.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.